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927053088090641 is a prime number
BaseRepresentation
bin1101001011001001100101111…
…0000000001110101000010001
311111120102102001122212200012122
43102302121132000032220101
51433002314211022400031
613043402150450304025
7366161242512502001
oct32262313600165021
94446372048780178
10927053088090641
1124942a009004016
1287b85123588015
1330a389672a8b75
14124cd874a62001
157229ba1aeb47b
hex34b265e00ea11

927053088090641 has 2 divisors, whose sum is σ = 927053088090642. Its totient is φ = 927053088090640.

The previous prime is 927053088090601. The next prime is 927053088090659. The reversal of 927053088090641 is 146090880350729.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554087345683600 + 372965742407041 = 23539060^2 + 19312321^2 .

It is a cyclic number.

It is not a de Polignac number, because 927053088090641 - 222 = 927053083896337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (927053088090601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 463526544045320 + 463526544045321.

It is an arithmetic number, because the mean of its divisors is an integer number (463526544045321).

It is a 1-persistent number, because it is pandigital, but 2⋅927053088090641 = 1854106176181282 is not.

Almost surely, 2927053088090641 is an apocalyptic number.

It is an amenable number.

927053088090641 is a deficient number, since it is larger than the sum of its proper divisors (1).

927053088090641 is an equidigital number, since it uses as much as digits as its factorization.

927053088090641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 927053088090641 in words is "nine hundred twenty-seven trillion, fifty-three billion, eighty-eight million, ninety thousand, six hundred forty-one".